{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical Statistics for Data Scientists (R)\n",
    "# Chapter 3. Statistial Experiments and Significance Testing\n",
    "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import required R packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# lmPerm is available from CRAN\n",
    "# conda install r-devtools\n",
    "# devtools::install_github('mtorchiano/lmPerm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registered S3 methods overwritten by 'ggplot2':\n",
      "  method         from \n",
      "  [.quosures     rlang\n",
      "  c.quosures     rlang\n",
      "  print.quosures rlang\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘dplyr’\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    filter, lag\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    intersect, setdiff, setequal, union\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(ggplot2)\n",
    "library(dplyr)\n",
    "library(lmPerm)\n",
    "library(pwr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n",
    "\n",
    "\n",
    "session_times <- read.csv(file.path(PSDS_PATH, 'data', 'web_page_data.csv'))\n",
    "session_times[,2] <- session_times[,2] * 100\n",
    "four_sessions  <- read.csv(file.path(PSDS_PATH, 'data', 'four_sessions.csv'))\n",
    "click_rate <-  read.csv(file.path(PSDS_PATH, 'data', 'click_rates.csv'))\n",
    "imanishi <-  read.csv(file.path(PSDS_PATH, 'data', 'imanishi_data.csv'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resampling\n",
    "## Example: Web Stickiness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QQEpIo0WpkECBAgQIAAAQIECNQWEJBq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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph <- ggplot(session_times, aes(x=Page, y=Time)) + \n",
    "  geom_boxplot() +\n",
    "  labs(y='Time (in seconds)') + \n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "35.6666666666667"
      ],
      "text/latex": [
       "35.6666666666667"
      ],
      "text/markdown": [
       "35.6666666666667"
      ],
      "text/plain": [
       "[1] 35.66667"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean_a <- mean(session_times[session_times['Page'] == 'Page A', 'Time'])\n",
    "mean_b <- mean(session_times[session_times['Page'] == 'Page B', 'Time'])\n",
    "mean_b - mean_a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Permutation test example with stickiness\n",
    "perm_fun <- function(x, nA, nB)\n",
    "{\n",
    "  n <- nA + nB\n",
    "  idx_b <- sample(1:n, nB)\n",
    "  idx_a <- setdiff(1:n, idx_b)\n",
    "  mean_diff <- mean(x[idx_b]) - mean(x[idx_a])\n",
    "  return(mean_diff)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ljf+lz1c5LRNu44RrfxnACBHgjUb1OqELpLcnhDxqtAashE6AaBjggokDoykWMO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",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "perm_diffs <- rep(0, 1000)\n",
    "for (i in 1:1000) {\n",
    "  perm_diffs[i] = perm_fun(session_times[, 'Time'], 21, 15)\n",
    "}\n",
    "par(mar=c(4,4,1,0)+.1)\n",
    "hist(perm_diffs, xlab='Session time differences (in seconds)', main='')\n",
    "abline(v=mean_b - mean_a, lty=2, lwd=1.5)\n",
    "text('  Observed\\n  difference', x=mean_b - mean_a,  y=par()$usr[4]-20, adj=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.125"
      ],
      "text/latex": [
       "0.125"
      ],
      "text/markdown": [
       "0.125"
      ],
      "text/plain": [
       "[1] 0.125"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean(perm_diffs > (mean_b - mean_a))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Statistical Significance and P-Values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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88nxycXJ107Lw/+ItmS/GHyzuThybcS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\nAhCAAAQgAAEIQAACEIBAyxD4f6GvnxJkuQObAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "obs_pct_diff <- 100 * (200 / 23739 - 182 / 22588)\n",
    "conversion <- c(rep(0, 45945), rep(1, 382))\n",
    "perm_diffs <- rep(0, 1000)\n",
    "for (i in 1:1000) {\n",
    "  perm_diffs[i] = 100 * perm_fun(conversion, 23739, 22588)\n",
    "}\n",
    "\n",
    "hist(perm_diffs, xlab='Conversion rate (percent)', main='')\n",
    "abline(v=obs_pct_diff, lty=2, lwd=1.5)\n",
    "text('   Observed\\n   difference', x=obs_pct_diff,  y=par()$usr[4]-20, adj=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0367579118205928"
      ],
      "text/latex": [
       "0.0367579118205928"
      ],
      "text/markdown": [
       "0.0367579118205928"
      ],
      "text/plain": [
       "[1] 0.03675791"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Obbserved difference\n",
    "obs_pct_diff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P-Value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.331"
      ],
      "text/latex": [
       "0.331"
      ],
      "text/markdown": [
       "0.331"
      ],
      "text/plain": [
       "[1] 0.331"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean(perm_diffs > obs_pct_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\t2-sample test for equality of proportions with continuity correction\n",
       "\n",
       "data:  c(200, 182) out of c(23739, 22588)\n",
       "X-squared = 0.14893, df = 1, p-value = 0.3498\n",
       "alternative hypothesis: greater\n",
       "95 percent confidence interval:\n",
       " -0.001057439  1.000000000\n",
       "sample estimates:\n",
       "     prop 1      prop 2 \n",
       "0.008424955 0.008057376 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prop.test(x=c(200,182), n=c(23739,22588), alternative='greater')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# t-Tests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tWelch Two Sample t-test\n",
       "\n",
       "data:  Time by Page\n",
       "t = -1.0983, df = 27.693, p-value = 0.1408\n",
       "alternative hypothesis: true difference in means is less than 0\n",
       "95 percent confidence interval:\n",
       "     -Inf 19.59674\n",
       "sample estimates:\n",
       "mean in group Page A mean in group Page B \n",
       "            126.3333             162.0000 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t.test(Time ~ Page, data=session_times, alternative='less')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ANOVA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QGp6h02PgIECBAgQIAAAQIE6hYQkOqm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\nCCCAAAIIIFCAwP8Bd5NKj0vxBIgAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph <- ggplot(four_sessions, aes(x=Page, y=Time)) + \n",
    "  geom_boxplot() +\n",
    "  labs(y='Time (in seconds)') +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Settings:  unique SS \"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Component 1 :\n",
       "            Df R Sum Sq R Mean Sq Iter Pr(Prob)  \n",
       "Page         3    831.4    277.13 5000   0.0716 .\n",
       "Residuals   16   1618.4    101.15                \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(lmPerm)\n",
    "summary(aovp(Time ~ Page, data=four_sessions))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## F-Statistic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "            Df Sum Sq Mean Sq F value Pr(>F)  \n",
       "Page         3  831.4   277.1    2.74 0.0776 .\n",
       "Residuals   16 1618.4   101.2                 \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(aov(Time ~ Page, data=four_sessions))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chi-Square Test\n",
    "## Chi-Square Test: A Resampling Approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tPearson's Chi-squared test with simulated p-value (based on 2000\n",
       "\treplicates)\n",
       "\n",
       "data:  clicks\n",
       "X-squared = 1.6659, df = NA, p-value = 0.4818\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clicks <- matrix(click_rate$Rate, nrow=3, ncol=2, byrow=TRUE)\n",
    "dimnames(clicks) <- list(unique(click_rate$Headline), unique(click_rate$Click))\n",
    "\n",
    "chisq.test(clicks, simulate.p.value=TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tPearson's Chi-squared test\n",
       "\n",
       "data:  clicks\n",
       "X-squared = 1.6659, df = 2, p-value = 0.4348\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chisq.test(clicks, simulate.p.value=FALSE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure chi-sq distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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oLkZkx66tu2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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x <- seq(1, 30, length=100)\n",
    "chi <- data.frame(df = factor(rep(c(1, 2, 5, 20), rep(100, 4))),\n",
    "                  x = rep(x, 4),\n",
    "                  p = c(dchisq(x, 1), dchisq(x, 2), dchisq(x, 5), dchisq(x, 20)))\n",
    "\n",
    "graph <- ggplot(chi, aes(x=x, y=p)) +\n",
    "  geom_line(aes(linetype=df)) +\n",
    "  geom_text(aes(x=25, y=0.06, label='df=20'), size=2.5) +\n",
    "  geom_text(aes(x=8, y=0.1, label='df=5'), size=2.5) +\n",
    "  geom_text(aes(x=4, y=0.2, label='df=2'), size=2.5) +\n",
    "  geom_text(aes(x=1.5, y=0.05, label='df=1'), size=2.5) +\n",
    "  theme_bw() + theme(legend.position = \"none\") +\n",
    "  labs(x='Value of chi-square statistic', y='Probability')\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fisher's Exact Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tFisher's Exact Test for Count Data\n",
       "\n",
       "data:  clicks\n",
       "p-value = 0.4824\n",
       "alternative hypothesis: two.sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fisher.test(clicks)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scientific Fraud"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gQIECBAgEDJBQSkkjdQ+QQIECBAgAAB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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Code for Figure 8\n",
    "imanishi$Digit <- factor(imanishi$Digit)\n",
    "\n",
    "graph <- ggplot(imanishi, aes(x=Digit, y=Frequency)) +\n",
    "  geom_bar(stat='identity') +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Power and Sample Size\n",
    "## Sample Size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "     Difference of proportion power calculation for binomial distribution (arcsine transformation) \n",
       "\n",
       "              h = 0.01029785\n",
       "              n = 116601.7\n",
       "      sig.level = 0.05\n",
       "          power = 0.8\n",
       "    alternative = greater\n",
       "\n",
       "NOTE: same sample sizes\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "effect_size = ES.h(p1=0.0121, p2=0.011)\n",
    "pwr.2p.test(h=effect_size, sig.level=0.05, power=0.8, alternative='greater')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "     Difference of proportion power calculation for binomial distribution (arcsine transformation) \n",
       "\n",
       "              h = 0.04746819\n",
       "              n = 5487.731\n",
       "      sig.level = 0.05\n",
       "          power = 0.8\n",
       "    alternative = greater\n",
       "\n",
       "NOTE: same sample sizes\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "effect_size = ES.h(p1=0.0165, p2=0.011)\n",
    "pwr.2p.test(h=effect_size, sig.level=0.05, power=0.8, alternative='greater')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
